Solving Quadratic Equations using Square Roots

Packet includes:
28 practice problems and an answer key.

This packet helps students practice how to solve basic quadratic equations using square roots and completing the square.  The simpler problems in this packet have perfect squares on both sides of the equation, so they can be solved by finding the square root of each side.  More advanced problems don't have perfect squares on each side so require students to simplify radicals to get their final answers.  These types of questions are good practice so that students can learn another strategy of solving quadratic equations called "completing the square.'

Each page starts with easier problems that get more difficult as students work through the packet. After doing all 28 problems, students should be more comfortable doing these problems and have a clear understanding of how to solve them.

Sample Problem(s):

Solve for x.

Simple:

$x²=25²$

$x²+5=49$

Notes:

Practice problems require knowledge of how to find square roots and how to simplify square roots (radicals).

Video lesson(s) showing you how to do this type of problem:

Solving Quadratic Equations by Square Roots  Solving Quadratic Equations with Square Roots.pdf Solving Quadratic Equations with Square Roots Answer Key.pdf